Question: Problem 7.32 A random sample of size n1 = 16 taken from a normal distribution N(1, 36) has a mean X1 = 30; another random

Problem 7.32 A random sample of size n1 = 16 taken from a normal distribution N(µ1, 36) has a mean X1 = 30; another random sample of size n2 = 25 taken from a different normal distribution N(µ2, 9) has a mean X2 = 25. Find:

(a) a 99% confidence interval for µ1 − µ2.

(b) a 95% confidence interval for µ1 − µ2.

(c) a 90% confidence interval for µ1 − µ2.

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